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Finding the Fourth Proportional to 144,420.96, 216,638.10 and 102,488.88

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Solution

The fourth proportional to 144,420.96, 216,638.10 and 102,488.88 is: 153,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,420.96 : 216,638.10 = 102,488.88 : x
  2. Step 2: Convert to fraction form
    144,420.96/216,638.10 = 102,488.88/x
  3. Step 3: Cross multiply
    144,420.96x = 216,638.10 × 102,488.88
  4. Step 4: Simplify right side
    144,420.96x = 22,202,996,234.33
  5. Step 5: Solve for x
    x = 22,202,996,234.33/144,420.96
  6. Step 6: Final answer
    x = 153,738.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.